Explicit Solutions of the Three Dimensional Inverse Problem of Dynamics Using the Frenet Reference System
Abstract
Given a twoparameter of threedimensional orbits, we construct the unit tangent vector, the normal and the binormal which define the Frenet reference frame. In this frame, by writing that the force is conservative, we explicitly obtain the potential as a function of the energy along the trajectories and of its derivatives.
 Publication:

Celestial Mechanics and Dynamical Astronomy
 Pub Date:
 September 1992
 DOI:
 10.1007/BF00052609
 Bibcode:
 1992CeMDA..53..207P
 Keywords:

 Orbit Calculation;
 Orbital Mechanics;
 Partial Differential Equations;
 Joukowski Transformation;
 Linear Equations;
 Three Dimensional Models;
 Astrophysics;
 Inverse problem;
 Szebehely's equation;
 intrinsic equations